Mathematics Motivated by the Social and Behavioral Sciences
Seiten
2018
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-517-8 (ISBN)
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-517-8 (ISBN)
Explores new ways to handle dynamics and evolutionary game theory, to identify subtleties of decision and voting methods, to recognise unexpected modelling concerns, and to introduce new approaches with which to examine game theory. Applications range from avoiding undesired consequences when designing policy to identifying unanticipated voting.
The mathematical challenges coming from the social and behavioral sciences differ significantly from typical applied mathematical concerns. ""Change,"" for instance, is ubiquitous, but without knowing the fundamental driving force, standard differential and iterative methods are not appropriate. Although differing forms of aggregation are widely used, a general mathematical assessment of potential pitfalls is missing. These realities provide opportunities to create new mathematical approaches.
These themes are described in an introductory, expository, and accessible manner by exploring new ways to handle dynamics and evolutionary game theory, to identify subtleties of decision and voting methods, to recognize unexpected modeling concerns, and to introduce new approaches with which to examine game theory. Applications range from avoiding undesired consequences when designing policy to identifying unanticipated voting (where the ""wrong"" person could win), nonparametric statistical, and economic ""supply and demand"" properties.
The mathematical challenges coming from the social and behavioral sciences differ significantly from typical applied mathematical concerns. ""Change,"" for instance, is ubiquitous, but without knowing the fundamental driving force, standard differential and iterative methods are not appropriate. Although differing forms of aggregation are widely used, a general mathematical assessment of potential pitfalls is missing. These realities provide opportunities to create new mathematical approaches.
These themes are described in an introductory, expository, and accessible manner by exploring new ways to handle dynamics and evolutionary game theory, to identify subtleties of decision and voting methods, to recognize unexpected modeling concerns, and to introduce new approaches with which to examine game theory. Applications range from avoiding undesired consequences when designing policy to identifying unanticipated voting (where the ""wrong"" person could win), nonparametric statistical, and economic ""supply and demand"" properties.
Donald G. Saari, a member of the National Academy of Sciences, is the Distinguished Professor of Mathematics and Economics and director of the Institute for Mathematical Behavioral Sciences at the University of California, Irvine. His research interests include the Newtonian N-body problem, the analysis of voting systems, and application of mathematics to the social and behavioral sciences.
Preface
Chapter 1: Evolutionary game theory
Chapter 2: All those puzzling voting mysteries!
Chapter 3: Voting theory applied elsewhere
Chapter 4: Voting: Symmetry and decompositions
Chapter 5: Game theory: A decomposition
Chapter 6: The reductionist approach
Bibliography
Index
| Erscheinungsdatum | 22.03.2018 |
|---|---|
| Reihe/Serie | CBMS-NSF Regional Conference Series in Applied Mathematics |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 405 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
| ISBN-10 | 1-61197-517-4 / 1611975174 |
| ISBN-13 | 978-1-61197-517-8 / 9781611975178 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Anwendungen und Theorie von Funktionen, Distributionen und Tensoren
Buch | Softcover (2023)
De Gruyter Oldenbourg (Verlag)
CHF 97,90
Beispiele, Aufgaben, Formeln
Buch | Softcover (2024)
Springer Gabler (Verlag)
CHF 55,95
